Answer:
a
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
b
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 3 \ minutes = 180 \ seconds [/tex]
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{156 + 136 + \cdots + 181}{25}[/tex]
=> [tex]\= x = 173.2 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }[/tex]
=> [tex]\sigma = 24.261[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }[/tex]
=> [tex] z = -1.40[/tex]
Generally p-value is mathematically represented as
[tex]p-value = P(Z < z)[/tex]
=> [tex]p-value = P(Z < -1.40)[/tex]
From the z-table
[tex]P(Z < -1.40) = 0.080757[/tex]
=> [tex]p-value = 0.080757 [/tex]
From the obtained value we that [tex]p-value > \alpha[/tex]
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
What is the inverse of the following statement: “If x is a whole number, then x = 5”?
a) If x is not a whole number, then x ≠ 5.
b) If x = 5, then x is a whole number.
c) If x ≠ 5, then x is not a whole number.
d) If x is not a whole number, then x = 5.
Answer:
It's a
Step-by-step explanation:
Because inverse means opposite so they are asking for the opposite of the statement "If x is a whole number, then x = 5”
Hope this helped ✨
If x is not a whole number, then x ≠ 5 is inverse of the statement if x is a whole number, then x = 5
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given statement is "If x is a whole number, then x = 5". To find its inverse, we need to switch the hypothesis and the conclusion, and negate both parts of the statement.
The hypothesis is "x is a whole number", and its negation is "x is not a whole number".
The conclusion is "x = 5", and its negation is "x ≠ 5".
So, the inverse of the given statement is:
"If x is not a whole number, then x ≠ 5."
Therefore, if x is not a whole number, then x ≠ 5 is correct answer.
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I need help fast
help me please
A parachutist descends 30 feet in 2 seconds.Express the rate of the parachutist’s change in height as a unit rate
Answer:
15
Step-by-step explanation:
30/2= 15 feet per second
Is it carbohydrate, lipid, protein, or nucleic acid?
PLEASE HELP!!! LAST QUESTION AND IM STUCKK.
Answer:
nucleic acid
Step-by-step explanation:
Melissa is saving $25 that she earned for washing her mom’s car. She earns $19 every week for doing chores, which she also saves. Which equation can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores.
Answer:
25+19x=t At least I think
car rental agency charges a base rate plus a certain amount per day (d) and can be modeled using the expression 15+ 18d. What is the meaning of 18d in the expression? *
4 points
It is the base rate to rent a car.
It is the cost of renting a car for a day.
It is the total number of days a car can be rented.
It is the portion of the cost based on renting a car for d days.
Answer:
It is the portion of the cost based on renting a car for d days
Step-by-step explanation:
Given:
Total cost = 15 + 18d
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change.
Fixed cost = base rate = 15
Variable cost changes during production process. The variable cost in the above varies with the number of days (d)
Therefore, 18d is the portion of the cost based on renting a car for d days.
If you rent the car for 1 day
Total cost = 15 + 18d
= 15 + 18(1)
= 15 + 18
= 33
f
[tex]f(x)2 - 5[/tex]
Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. She would like her child care center to serve
29 children
(a) How many teachers will be needed?
Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy?
Answer:
2 hats
Step-by-step explanation:
4+4+3+3+3=17
Each hat costs $4 and each scarf costs $3.
He bought 5 items. Two of those items were hats.
The rest were scarfs.
The number of hats bought by John are 3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the hat is represented by x
scarves is denoted by y
Hats cost $4 each while scarves cost $3 each
John buys 5 items and spends a total of $17.
We need to find the number of hats.
3x+4y=17..(1)
x+y=5..(2)
x=5-y
Subtract x value in equation 1
3(5-y)+4y=17
Apply distributive property
15-3y+4y=17
15+y=17
Subtract 15 on both sides
y=2
x+2=5
x=3
Hence, the number of hats bought by John are 3
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what’s the answer bruh? I need help fr fr
Answer:
C.
Step-by-step explanation:
Very simple! First we have to take 4x-y=24 and put it in slope intercept form. We get y=4x-24. After this, we have to find the reciprocal of the slope (4). The reciprocal is 1/4. Which equation has a slope of 1/4? C does!
Answer:
A
Step-by-step explanation:
the ratio of lily's programing to tina's programing speed is 3:5. lily can write six programs per day. if lily and tina work together to write 240 programs, how many days are needed
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
Bill is a builder.
On Monday he made mortar mix.
He used 24kg of sand and 5 kg of cement.
On Tuesday Bill will make the same type of mortar mix.
He will use 36 kg of sand.
How much cement does he need to make the same type of mortar mix?
Answer:
7.5 kg
Step-by-step explanation:
24 : 5
36 : x
x = 5 × 36 / 24
= 7.5 kg
Bill needs 7.5 kg of cement
Monday:
Sand = 24 kg
Cement = 5 kg
Tuesday:
Sand = 36 kg
Cement = x kg
Ratio of sand to cement
24 : 5 = 36 : x
24/5 = 36/x
Cross product
24 * x = 5 * 36
24x = 180
x = 180/24
x = 7.5 kg
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Help me pleaseeeeee!!
I need HELP class is about to start and I don’t know any of this
Answer:
I'm not sure, let me work it out.
Step-by-step explanation:
Identify the x- and y- intercept of the graph of the equation -3x + 6y = 24
Answer: x- intercept (0,-8)
Y- intercept (4,0)
Step-by-step explanation:
Write using interval notation
Answer:
(-9,5]
Hope this helps!!!!!
given that f (x) x^2 - 3x find f(-4)
Answer:
28
Step-by-step explanation:
If you put -4 into all of the xs, then you should end up with the answer 28.
3(2h + 7) = 4(9 – h)
Answer:
h=−2
Step-by-step explanation:
out of 50 students,34 joined the journalism class and 25 joined the robotics club.If 16 students joined both clubs,how many students are in neither club
Kelly made six batches of cookies his friends asked her to make an extra batch she’s 17 1/4 cups of sugar and needed another 7/8 cups for the extra batch how many cups of sugar will Kelly use all together
Answer:
18 1/8
Step-by-step explanation:
I mark as brainliest
Answer:
-2, 0
I think I haven’t done this in 3 years lol
Answer:
-2,0
Step-by-step explanation:
X is -2 and Y is 0.
So X,Y = -2,0.
The linear equation has 5(x + 2) = 5x + 2 A) no solution. B) one solution. C) two solutions. D) infinitely many solutions
it's A it has no solution
On a number line, how are the locations of 9 and -9 related?
A.
The two numbers are opposites in value and lie in opposite direction on the number line.
B.
The two numbers are opposites in value and they lie in the same direction on a number line.
C.
The two numbers are equal in value and lie in opposite direction on the number line.
D.
The two numbers are equal in value and they lie in the same direction on a number line.
Answer:
none.
Step-by-step explanation:
how can you like put a subtract sign next to a number like lol!! how does it make sence!?!? i think the CORRECT answer is apple bobbing. i think this because when you apple bob for 9 apples it like subtracts it from the apple water!! currently crying because your question doesnt make sence like its obv apple bobing
The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is between.
Answer:
A=3.1
B=3.2
Step-by-step explanation:
Domain range and function
Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
A.
48.3 cm
B.
54.6 cm
C.
60.0 cm
D.
173.2 cm
54.6 cm
Step-by-step explanation:Hi there !
T30° => AD = AC/2 = 20cm/2 = 10 cm
T.Phytagoras
CD = √AC² - AD²
= √20² - 10²
= √400-100
= √300
= 10√3
= 10×1.73
= 17.3 cm
P = 2AD + 2CD
= 2×10cm + 2×17.3cm
= 20cm + 34.6cm
= 54.6 cm
Good luck !
A taxi driver charges a fee if $4 plus 1.50 per mile. If you total was $13 how manu miles did you take
Answer:
6
Step-by-step explanation:
you need to do this (13-4)/1.50
Can you answer both and tell me the answer please
Answer:
7. 10^2
8. 3x3x3x3x3x3x3x3x3 = 19,683mi^2
Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much
+0
1. Sam has a rope that measures
(5 x 1/10) + (6 x 1/100) + (8 x 1/1000)
How can this measurement be written as a decimal?